scholarly journals Control sets for bilinear and affine systems

2021 ◽  
Author(s):  
Fritz Colonius ◽  
Alexandre J. Santana ◽  
Juliana Setti
Keyword(s):  
Projective Space ◽  
Control Systems ◽  
Lie Algebra ◽  
Diophantine Approximation ◽  
Rank Condition ◽  
Approximation Result ◽  
Bilinear Control ◽  
Control Sets ◽  
Bilinear Control Systems ◽  
Affine Control Systems

AbstractFor homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a classical Diophantine approximation result. For affine control systems, the control sets around the equilibria for constant controls are characterized with particular attention to the question when the control sets are unbounded.

Analysis of attainability sets of bilinear control systems

2017 ◽  
Author(s):  
A. V. Ekimov ◽  
Yu. E. Balykina ◽  
M. V. Svirkin
Keyword(s):  
Control Systems ◽  
Bilinear Control ◽  
Bilinear Control Systems

Observer Design of Bilinear Systems

1983 ◽  
Vol 105 (3) ◽  
pp. 206-208 ◽  
Author(s):  
Chin Shung Hsu ◽  
V. R. Karanam
Keyword(s):  
Control Systems ◽  
Pole Assignment ◽  
Bilinear Systems ◽  
Observer Design ◽  
Observer Error ◽  
Design Procedures ◽  
Bilinear Control ◽  
New Class ◽  
Bilinear Control Systems ◽  
Error Behavior

In this paper, recent results on the observer design of bilinear control systems (BLS) are first reviewed. Different design procedures are examined with respect to their associated observer error behavior. A new class of BLS observers which can be designed via pole-assignment algorithms is then presented.

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